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MP
1998
136views more  MP 1998»
14 years 10 months ago
Minimum cost capacity installation for multicommodity network flows
Consider a directed graph G = (V;A), and a set of tra c demands to be shipped between pairs of nodes in V. Capacity has to be installed on the edges of this graph (in integer mult...
Daniel Bienstock, Sunil Chopra, Oktay Günl&uu...
INFORMS
2008
241views more  INFORMS 2008»
14 years 10 months ago
Solving the Capacitated Local Access Network Design Problem
We propose an exact solution method for a routing and capacity installation problem in networks. Given an input graph, the problem is to route traffic from a set of source nodes t...
F. Sibel Salman, R. Ravi, John N. Hooker
ICALP
2003
Springer
15 years 4 months ago
Multicommodity Demand Flow in a Tree
We consider requests for capacity in a given tree network T = (V, E) where each edge of the tree has some integer capacity ue. Each request consists of an integer demand df and a ...
Chandra Chekuri, Marcelo Mydlarz, F. Bruce Shepher...
FOCS
2002
IEEE
15 years 3 months ago
A Constant-Factor Approximation Algorithm for the Multicommodity
We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
Amit Kumar, Anupam Gupta, Tim Roughgarden
SIAMCOMP
1998
176views more  SIAMCOMP 1998»
14 years 10 months ago
An O(log k) Approximate Min-Cut Max-Flow Theorem and Approximation Algorithm
It is shown that the minimum cut ratio is within a factor of O(log k) of the maximum concurrent flow for k-commodity flow instances with arbitrary capacities and demands. This im...
Yonatan Aumann, Yuval Rabani